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112012211102120 = 23572570110024397
BaseRepresentation
bin11001011101111111100000…
…000011011010000110101000
3112200121021002120201220002122
4121131333200003122012220
5104140202002020231440
61034121411023050412
732410421003625500
oct3135774003320650
9480537076656078
10112012211102120
113276612601880a
1210690872a40a08
134a66924640a34
141d935c4480a00
15ce3a6475e7b5
hex65dfe00da1a8

112012211102120 has 96 divisors (see below), whose sum is σ = 293226272241480. Its totient is φ = 38397446438400.

The previous prime is 112012211102117. The next prime is 112012211102123. The reversal of 112012211102120 is 21201112210211.

It is an interprime number because it is at equal distance from previous prime (112012211102117) and next prime (112012211102123).

It can be written as a sum of positive squares in 4 ways, for example, as 110598076299844 + 1414134802276 = 10516562^2 + 1189174^2 .

It is not an unprimeable number, because it can be changed into a prime (112012211102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6161762 + ... + 16186158.

Almost surely, 2112012211102120 is an apocalyptic number.

112012211102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012211102120 is an abundant number, since it is smaller than the sum of its proper divisors (181214061139360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112012211102120 is a wasteful number, since it uses less digits than its factorization.

112012211102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030123 (or 10030112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112012211102120 its reverse (21201112210211), we get a palindrome (133213323312331).

The spelling of 112012211102120 in words is "one hundred twelve trillion, twelve billion, two hundred eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5701 11402 22804 28505 39907 45608 57010 79814 114020 159628 199535 228040 279349 319256 399070 558698 798140 1117396 1396745 1596280 2234792 2793490 5586980 10024397 11173960 20048794 40097588 50121985 70170779 80195176 100243970 140341558 200487940 280683116 350853895 400975880 491195453 561366232 701707790 982390906 1403415580 1964781812 2455977265 2806831160 3929563624 4911954530 9823909060 19647818120 57149087297 114298174594 228596349188 285745436485 400043611079 457192698376 571490872970 800087222158 1142981745940 1600174444316 2000218055395 2285963491880 2800305277553 3200348888632 4000436110790 5600610555106 8000872221580 11201221110212 14001526387765 16001744443160 22402442220424 28003052775530 56006105551060 112012211102120